Charge response function and a novel plasmon mode in graphene

Details Charge response function and a novel plasmon mode in graphene Charge response function and a novel plasmon mode in graphene

2007-10-03

arxiv.org/abs/0710.0622v2

Phys. Rev. Lett. 100, 166802 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures,typos corrected

Scientific paper

10.1103/PhysRevLett.100.166802

Polarizability of non-interacting 2D Dirac electrons has a 1/\sqrt{qv-\omega} singularity at the boundary of electron-hole excitations. The screening of this singularity by long-range electron-electron interactions is usually treated within the random phase approximation. The latter is exact only in the limit of N -> infinity, where N is the ``color'' degeneracy. We find that the ladder-type vertex corrections become crucial close to the threshold as the ratio of the n-th order ladder term to the same order RPA contribution is (\ln|qv-\omega|)^n/N^n$. We perform analytical summation of the infinite series of ladder diagrams which describe excitonic effect. Beyond the threshold, qv>\omega, the real part of the polarization operator is found to be positive leading to the appearance of a strong and narrow plasmon resonance.

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